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Generalized two-dimensional quaternionic fractional Mellin transform

Khinal Parmar, V. R. Lakshmi Gorty

Abstract



In this study, authors have established two-dimensional quaternionic fractional Mellin transforms in a distributional sense. The testing function space and some properties are studied. The analyticity, boundedness, and inversion formula are analyzed. Operational properties and Mellin-type convolution properties are established. The applications related to Mathematical Physics are given in the concluding section.

Keywords


quaternion fractional Mellin transform, analyticity, testing function space, boundedness, inversion, convolution.

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